E [(0.3)" + (0.8)"] n=0

Q: What is the largest value of x for which the series (x - 8)" n 4 is absolutely convergent? Answer:

A: FOLLOW NEXT STEP

Q: In  the given question as follows , find the sum of the convergent series :- see the equation as…

A: It is given that, ∑n=0∞25n     ...(1)   According to the sum of Geometric series, the sum of…

Q: . Find the values of p for which the series E=1 Inn is convergent. (with reason)

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Q: Write the first four non-zero terms for the Maclaurin series of the function f(x) = xe4X. Express…

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Q: For what value/values of x does the series 2(- 1)" x" converges? n =0

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Q: d) Find the interval of convergence for the series you created in part c).

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Q: Find all the values of x such that the given series would converge. x" n! Answer: IM:

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Q: Q2/ Which of the following series is convergent?

A: We have to check whether the given series is convergent or divergent.…

Q: The series E is (i) Diverge (ii) Converge

A: The given series is: ∑n=1∞1n45 Which is of the form ∑n=1∞1np And p-series converges if p>1 and…

Q: The series E² is convergent and has a sum.

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Q: Find the interval and radius of convergence of the power series E(-1)** (x+2)" п 2" n=1

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Q: . Find the radius of convergence and the interval of convergence of the power series E(-1)"n²(x –…

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Q: Find all the values of a such that the given series would converge. (x - 7)"

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Q: (a) For what values of x is the following series convergent? 00 enx n=0 (b) Find the value of x that…

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Q: In  the given question as follows , find the sum of the convergent series by using a well-known…

A: Find the sum of the convergent series by using a well-known function.              ∑n=0∞-1n12n+1

Q: Find the values of x for which the series converges. Σ n=0

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Q: Find the sum of the follOwing convergent series. 1 4+2+1+ 2

A: Explanation of the answer is as follows

Q: Find the sum of the following convergent series. 9n+1 n=1 72n a.

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Q: Find the sum of the series, if it converges. Otherwise, enter DNE. 8 Σ (-3)" w=1

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Q: Find all values of x for which the series converges. For these values of x, write the sum of the…

A: Let the equation be y, then  - y = ∑n=0∞5x-23nExpanding this series by putting n=0, 1, 2 ....y = 5 +…

Q: In the given equation as follows , find the sum of the convergent series by using a well-known…

A: It is given that ∑n=1∞(-1)n+112nn   ...(1) We also know that the power series expansion for ln(1+x)…

Q: Which of the following is a convergent p-series? в D 1

A: We have to check

Q: Find the sum of the following convergent series 2n-2 Σ n=0 40

A: Given convergent series is : ∑n=0∞2n-24n  To find the sum of convergent series.

Q: Find the sum of the series, if it converges. Otherwise, enter DNE. E7(0.2)"-1 n=1

A: Here, the given series is  ∑n=1∞70.2n-1

Q: Which of the following series is convergent? а. Ei nº b. E n CEn-3 С. d. E n-1

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Q: For what values of x does the power series > converge? 5" n n=1

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Q: Determine whether the geometric series converges or diverges. If it converges, find its sum. E7*8*+1…

A: Given: Here,         an=7n8-n+1    =7n8n-1 So,         limn→∞an+1an=limn→∞7n+18n7n8n-1…

Q: What value does this series converge to?

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Q: If aN is the nth digit in the decimal expression of 1/3, is the series convergent or divergent?…

A: According to the given information, An is the nth digit in the decimal expression. So, for the…

Q: B. Determine ( one ) of the following series, is it convergent or divergent 1- E sech? n 2-

A: B. 1. The given series is ∑n=1∞ sec2n We know the relation  -1≤cos x≤1cos2x≤1⇒1cos2x≥1⇒sec2x≥1 Now,…

Q: Find the values of x for which the series converges.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the radius of convergence and the interval of convergence of the power series E(-1)"n²(x – a)ªn…

A: We have to find the radius of convergence and interval of convergence of the power series…

Q: Find the sum of the convergent series by using a well-known fühct 2n (-1)" + 1 3 n n=D1

A: Given : ∑n=1∞-1n+12n3n nln1+x = ∑n=1∞-1n+1 xnn    as x < 1Therefore,23 < 1ln1+23 = ∑n=1∞-1n+1…

Q: Use the test of your choice to determine whether the following series converge.

A: Use the test of your choice to determine whether the following series converge.

Q: Σ 00, (x- 3)" n=1°

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Q: Find the sum of the convergent series. 00 E on? + 3n - 2 n = 1

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Q: +o0 E(-1)" n=2 n?

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Q: Find the sum of the convergent series. Σ n(n + 2) W

A: First we rewrite the series and then find the sum.

Q: Find the values of p for which the series is convergent. Σ 6 n(In(n)) P n 2

A: Consider the given series.

Q: For what values of $x$ is the series $\sum_{n=0}^{\infty} n ! x^{n}$ convergent?

A: Given the series is We have to calculate the value of x for which the given series is convergent.

Q: Does the series E 1 converge or diverge? I- n

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Q: Find the sum of the series, if it converges. Otherwise, enter DNE. 6 Σ n(n + 2)

A: Given problem:-

Q: Find the value of the following convergent series: 10

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Q: Use the geometric series formula y" to express the function as a series: n=0 1 n=0 ||

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Q: Find the smallest value of x for which the series (x + 46)" 2'n(n) is conditionally convergent.…

A: Given series is ∑n=2∞(x+46)n2ln(n)

Q: x" Σ n=1 п+5

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Q: Find the sum of the convergent series by using a well-known function. (Round your answer to four…

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